Binary Trees Overview and Storage Methods

• A binary tree is a data structure that consists of a root node and two child nodes.
• A binary tree is a rooted tree that is also an ordered tree.
• Each node in a binary tree has at most two children.
• A binary tree is a special case of an ordered K-ary tree.
• The properties of a binary tree depend on its structure.
• The counting problem of binary trees is to count the number of full binary trees of a given size.

The key facts that are summarized above are as follows:

• A binary tree is a data structure that consists of a root node and two child nodes.
• A binary tree is a rooted tree that is also an ordered tree.
• Each node in a binary tree has at most two children.
• A binary tree is a special case of an ordered K-ary tree.
• The properties of a binary tree depend on its structure.
• The counting problem of binary trees is to count the number of full binary trees of a given size.
• Binary trees can be represented in several ways, but the most common is to have a tree node structure which contains data and references to its left or right child.
• If a node has fewer than two children, some of the child pointers may be set to a special null value or to a special sentinel node.
• Another way to store binary trees is to use arrays and store them in breadth-first order.
• Another way to store binary trees is to use tagged unions and store them as a 3-tuple of data, left child, and right child.
• The most efficient way to store binary trees is to use pointers and store them as an implicit data structure in arrays.

Learn about the properties of binary trees, including their structure, representation, and storage methods. Explore the counting problem of binary trees and the different ways to store them, such as using tree node structures, arrays, and tagged unions.